Proportions and Their Music by Karlheinz Schuffler PAPERBACK 9783662653357

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Proportions and Their Music\nby Karlheinz Schuffler\nPaperback\nEnglish\n\nBrand new copy from BookCurl \u2013 the UK independent online bookseller.\n\n------------------------------\nBook details\n------------------------------\nAuthor: Karlheinz Schuffler\nTitle: Proportions and Their Music\nFormat: Paperback\nLanguage: English\nPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG\nPublication year: 2024\nEdition: 2024\nISBN-13: 9783662653357\nISBN-10: 3662653354\nRRP: \u00A344.99\n\n------------------------------\nDescription\n------------------------------\nSounds can be harmonic, number sequences too - a coincidence?This book deals with a musical theory of proportions, i.e. the ancient doctrine of proportions as the oldest and most important common anchorage of the two cultural sciences mathematics and music.\nThe musical theory of tones, intervals, tetrachords, sounds and scales is in fact the exact musical image of the laws of arithmetic and its symmetries in the.